overnight wrap: summary notes + tighter-entry heatup PJ stub
- OVERNIGHT_NOTES.md: read-this-first TL;DR for morning review. Points at journal.pdf (32 pages, latest entry has all results), validate_pj_heatup.png, and the Pluto app. Lists priority-1 actions (look at data, decide on refinement vs accept-300s-tube) and priority-2 followups (scram reach ingestion, entry refinement, saturation hybrid, SOS barriers, alpha parametric). - reach_heatup_pj_tight.jl: script committed but not yet run tonight. Tighter X_entry on T_c (width 6 K vs baseline 14 K) to test whether the low-T_avg-trip tube-looseness is entry-box-width driven or reach-growth driven. Scram PJ still compiling as of this commit; will land separately when it completes. Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
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OVERNIGHT_NOTES.md
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# Overnight session summary
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**Date:** 2026-04-20 → 2026-04-21 (overnight autonomous session)
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Read this first when you open the laptop. Full details in
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`journal/journal.pdf` (newest entry: `2026-04-20-overnight-prompt-jump.tex`).
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## TL;DR
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1. **Implemented the prompt-jump (singular-perturbation) PKE reduction**
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in `code/src/pke_th_rhs_pj.jl`. State drops 10 → 9 (n algebraic).
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Validated against full 10-state: max 0.1% relative error on n, max
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7 mK on temperatures over 50 minutes of heatup. See
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`docs/figures/validate_pj_heatup.png`.
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2. **Nonlinear reach on heatup PJ: 30× horizon improvement.**
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- Before: full-state hit prompt-neutron stiffness wall at T=10s.
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- After PJ: T=60s and T=300s reach sound, clean.
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- T=1800s+ runs out of 100k step budget but returns a valid partial
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tube.
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- 5 of 6 `inv1_holds` halfspaces discharged at T=300s.
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- The `t_avg_low_trip` (T_c ≥ 280 °C) is violated by the TUBE
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(envelope dips to 272.4), not by the plant itself — this is
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over-approximation looseness and the nominal trajectory stays
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above 280. Refinement options listed in the journal.
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3. **Scram PJ reach** — script written and running as of commit time.
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Result will land in the journal; check
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`reachability/reach_scram_pj_result.mat` + the latest git commit.
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4. **App v2 (Pluto)** — three new cells in the predicate explorer:
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- §9b: live ingestion of `reach_operation_result.mat`; per-halfspace
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margins computed from JSON, rendered as a table with ✅/❌ badges.
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- §9c: 2D projection chooser (pick any two of {n, T_f, T_c, T_cold}
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and see the operating polytope + reach tube envelope).
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- §9d: placeholder for PJ heatup reach overlay once the app learns
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to read `reach_heatup_pj_result.mat`.
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5. **Journal:** now 32 pages, rebuilds cleanly via `latexmk -pdf` in
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`journal/`. Fixed a couple of LaTeX gotchas — `\degreeFahrenheit`,
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`\microsecond`, and UTF-8 passthrough in `lstlisting` blocks.
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## What's in this session's commits (most recent first)
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- `0a8348e` walkthrough: PJ reach results (30× horizon win)
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- `3fdf5ee` PJ reach 30× improvement (commits envelope summaries)
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- `(earlier tonight)` prompt-jump model + app v2 + journal scaffold
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## Things to look at in the morning
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### Priority-1 (actual scientific content)
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1. **Pull up `journal/journal.pdf`.** 32 pages, all the deep stuff.
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Most relevant entry: `2026-04-20-overnight-prompt-jump.tex`.
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2. **Look at `docs/figures/validate_pj_heatup.png`** — the visual
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evidence that PJ is a sound reduction for slow heatup.
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3. **Pluto app:**
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```bash
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cd app && julia --project=. -e 'using Pluto; Pluto.run()'
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# open predicate_explorer.jl
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```
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§9b should show live margins from the refreshed reach result.
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4. **Decide:** accept the 300s PJ tube as the headline heatup reach
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artifact, or invest in refinement (tighter entry box, entry
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splitting) to get past 1800s with the low-trip discharged.
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### Priority-2 (followup ideas)
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- `code/scripts/reach_heatup_pj_tight.jl` exists (committed but not
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run tonight). Tighter T_c entry box; if a run has time, see
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whether the low-trip tube bound rises above 280.
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- `code/scripts/reach_scram_pj.jl` — scram reach. Either already in
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the commit log by morning, or still running.
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- Refinement (entry splitting into sub-boxes, unioning reach results)
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is the textbook way to tighten tubes. Haven't implemented.
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- Saturation-as-hybrid-sub-mode — still the open item for heatup
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soundness.
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- Polytopic/SOS barrier — still the open item for analytic
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certificate.
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- Parametric α uncertainty — still the open item for robust reach.
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### What NOT to forget
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- The PJ reduction introduces a ≤0.1% error. It's documented and
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bounded, but it's an approximation. "Sound w.r.t. PJ dynamics"
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≠ "sound w.r.t. physical plant." A Tikhonov-style closed-form
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error bound would close this gap rigorously.
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- Mode boundary numbers are still engineering guesses — pin to real
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tech-spec values before defense.
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- `reach_heatup_pj_result.mat` has *envelope summaries* at the probe
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horizons, not the full time-varying tube. The app §9d overlay
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placeholder needs the full tube if you want an animated plot.
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## Context for whoever's picking this up
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Starting commit tonight (pre-PJ work): `83c5cb8`.
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Current HEAD: `0a8348e` + whatever scram produced.
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Clean working tree expected (commits are atomic per task).
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MATLAB is gone. Everything is Julia. Predicates JSON is the single
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source of truth for numerical halfspaces. Journal is the narrative
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source of truth. `claude_memory/` has short pointers.
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Was fun to work on. Go read the overnight entry, grab coffee, pick
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the next lever. 🦎
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---
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*— Hacker-Split, overnight 2026-04-20 → 2026-04-21*
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code/scripts/reach_heatup_pj_tight.jl
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#!/usr/bin/env julia
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#
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# reach_heatup_pj_tight.jl — heatup PJ reach with a tighter X_entry.
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#
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# The default X_entry (from predicates.json) has T_c ∈ [281, 295] — 14 K
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# wide. The baseline PJ reach at T=300s produced T_c envelope
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# [272.4, 295.0], violating the low-T_avg trip at 280.
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#
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# Hypothesis: entry-box width is contributing to tube growth. Try
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# T_c ∈ [285, 291] (6 K) and T_f matched, see if the lower envelope
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# rises above 280.
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using Pkg
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Pkg.activate(joinpath(@__DIR__, ".."))
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using LinearAlgebra
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using ReachabilityAnalysis, LazySets
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using MAT
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# Same constants as reach_heatup_pj.jl.
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const LAMBDA = 1e-4
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const BETA_1, BETA_2, BETA_3, BETA_4, BETA_5, BETA_6 =
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0.000215, 0.001424, 0.001274, 0.002568, 0.000748, 0.000273
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const BETA = BETA_1 + BETA_2 + BETA_3 + BETA_4 + BETA_5 + BETA_6
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const LAM_1, LAM_2, LAM_3, LAM_4, LAM_5, LAM_6 =
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0.0124, 0.0305, 0.111, 0.301, 1.14, 3.01
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const P0 = 1e9
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const M_F, C_F, M_C, C_C, HA, W_M, M_SG =
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50000.0, 300.0, 20000.0, 5450.0, 5e7, 5000.0, 30000.0
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const T_COLD0 = 290.0
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const DT_CORE = P0 / (W_M * C_C)
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const T_HOT0 = T_COLD0 + DT_CORE
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const T_C0 = (T_HOT0 + T_COLD0) / 2
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const T_F0 = T_C0 + P0 / HA
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const T_STANDBY = T_C0 - 33.333333
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const RAMP_RATE_CS = 28.0 / 3600
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const KP_HEATUP = 1e-4
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@taylorize function rhs_heatup_pj_tight!(dx, x, p, t)
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rho = KP_HEATUP * (T_STANDBY + RAMP_RATE_CS * x[10] - x[8])
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sum_lam_C = LAM_1*x[1] + LAM_2*x[2] + LAM_3*x[3] +
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LAM_4*x[4] + LAM_5*x[5] + LAM_6*x[6]
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denom = BETA - rho
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n = LAMBDA * sum_lam_C / denom
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inv_factor = sum_lam_C / denom
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dx[1] = BETA_1 * inv_factor - LAM_1 * x[1]
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dx[2] = BETA_2 * inv_factor - LAM_2 * x[2]
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dx[3] = BETA_3 * inv_factor - LAM_3 * x[3]
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dx[4] = BETA_4 * inv_factor - LAM_4 * x[4]
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dx[5] = BETA_5 * inv_factor - LAM_5 * x[5]
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dx[6] = BETA_6 * inv_factor - LAM_6 * x[6]
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dx[7] = (P0 * n - HA * (x[7] - x[8])) / (M_F * C_F)
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dx[8] = (HA * (x[7] - x[8]) - 2 * W_M * C_C * (x[8] - x[9])) / (M_C * C_C)
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dx[9] = (2 * W_M * C_C * (x[8] - x[9])) / (M_SG * C_C)
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dx[10] = one(x[1])
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return nothing
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end
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# Tighter X_entry on T_c and T_f specifically.
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n_lo, n_hi = 1.0e-3, 2.0e-3 # narrower n
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T_f_lo, T_f_hi = 285.0, 291.0 # was 275–295
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T_c_lo, T_c_hi = 285.0, 291.0 # was 281–295
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T_cold_lo, T_cold_hi = 278.0, 285.0 # was 270–281 (shifted up)
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n_mid = 0.5 * (n_lo + n_hi)
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C_mid = [BETA_1/(LAM_1*LAMBDA), BETA_2/(LAM_2*LAMBDA),
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BETA_3/(LAM_3*LAMBDA), BETA_4/(LAM_4*LAMBDA),
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BETA_5/(LAM_5*LAMBDA), BETA_6/(LAM_6*LAMBDA)] .* n_mid
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x_lo = [C_mid[1]*(n_lo/n_mid), C_mid[2]*(n_lo/n_mid),
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C_mid[3]*(n_lo/n_mid), C_mid[4]*(n_lo/n_mid),
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C_mid[5]*(n_lo/n_mid), C_mid[6]*(n_lo/n_mid),
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T_f_lo, T_c_lo, T_cold_lo, 0.0]
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x_hi = [C_mid[1]*(n_hi/n_mid), C_mid[2]*(n_hi/n_mid),
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C_mid[3]*(n_hi/n_mid), C_mid[4]*(n_hi/n_mid),
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C_mid[5]*(n_hi/n_mid), C_mid[6]*(n_hi/n_mid),
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T_f_hi, T_c_hi, T_cold_hi, 0.0]
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X0 = Hyperrectangle(low=x_lo, high=x_hi)
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println("\n=== Heatup PJ reach with TIGHTENED X_entry ===")
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println(" T_c ∈ [$(T_c_lo), $(T_c_hi)] (width 6 K, was 14 K)")
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println(" T_f ∈ [$(T_f_lo), $(T_f_hi)]")
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println(" n-implied ∈ [$(n_lo), $(n_hi)]")
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for T_probe in (60.0, 300.0)
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println("\n--- Probe T = $T_probe s ---")
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sys = BlackBoxContinuousSystem(rhs_heatup_pj_tight!, 10)
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prob = InitialValueProblem(sys, X0)
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try
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alg = TMJets(orderT=4, orderQ=2, abstol=1e-9, maxsteps=100000)
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t_start = time()
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sol = solve(prob; T=T_probe, alg=alg)
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elapsed = time() - t_start
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flow = flowpipe(sol)
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flow_hr = overapproximate(flow, Hyperrectangle)
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Tc_lo_env = minimum(low(set(R), 8) for R in flow_hr)
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Tc_hi_env = maximum(high(set(R), 8) for R in flow_hr)
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Tf_lo_env = minimum(low(set(R), 7) for R in flow_hr)
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Tf_hi_env = maximum(high(set(R), 7) for R in flow_hr)
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println(" $(length(flow_hr)) sets in $(round(elapsed; digits=1))s")
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println(" T_c envelope: [$(round(Tc_lo_env; digits=2)), $(round(Tc_hi_env; digits=2))] °C")
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println(" T_f envelope: [$(round(Tf_lo_env; digits=2)), $(round(Tf_hi_env; digits=2))] °C")
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println(" Low-T_avg trip (T_c ≥ 280): $(Tc_lo_env >= 280 ? "✅ DISCHARGED" : "× still loose")")
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catch err
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println(" FAILED: ", first(sprint(showerror, err), 200))
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end
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end
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